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Finding the Fourth Proportional to 258,565.14, 356,644.49 and 167,758.88

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Solution

The fourth proportional to 258,565.14, 356,644.49 and 167,758.88 is: 231,393.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,565.14 : 356,644.49 = 167,758.88 : x
  2. Step 2: Convert to fraction form
    258,565.14/356,644.49 = 167,758.88/x
  3. Step 3: Cross multiply
    258,565.14x = 356,644.49 × 167,758.88
  4. Step 4: Simplify right side
    258,565.14x = 59,830,277,578.55
  5. Step 5: Solve for x
    x = 59,830,277,578.55/258,565.14
  6. Step 6: Final answer
    x = 231,393.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.